-
2
-
-
12844275468
-
On the trend to global equilibrium for spatially inhomogeneous kinetic systems: The Boltzmann equation
-
Desvillettes L., Villani C.: On the trend to global equilibrium for spatially inhomogeneous kinetic systems: The Boltzmann equation. Invent. Math. 159(2), 245-316 (2005).
-
(2005)
Invent. Math.
, vol.159
, Issue.2
, pp. 245-316
-
-
Desvillettes, L.1
Villani, C.2
-
3
-
-
84990553444
-
Global weak solution of Vlasov-Maxwell systems
-
DiPerna R. J., Lions P.-L.: Global weak solution of Vlasov-Maxwell systems. Commun. Pure Appl. Math. 42, 729-757 (1989).
-
(1989)
Commun. Pure Appl. Math.
, vol.42
, pp. 729-757
-
-
Diperna, R.J.1
Lions, P.-L.2
-
4
-
-
0001089576
-
On the Cauchy problem for Boltzmann equation: global existence and weak stability
-
DiPerna R. J., Lions P.-L.: On the Cauchy problem for Boltzmann equation: global existence and weak stability. Ann. Math. 130, 321-366 (1989).
-
(1989)
Ann. Math.
, vol.130
, pp. 321-366
-
-
Diperna, R.J.1
Lions, P.-L.2
-
5
-
-
64749085031
-
Hypocoercivity for kinetic equations with linear relaxation terms
-
Dolbeault J., Mouhot C., Schmeiser C.: Hypocoercivity for kinetic equations with linear relaxation terms. C. R. Acad. Sci. Paris 347, 511-516 (2009).
-
(2009)
C.R. Acad. Sci. Paris
, vol.347
, pp. 511-516
-
-
Dolbeault, J.1
Mouhot, C.2
Schmeiser, C.3
-
7
-
-
67651232554
-
Stability of the Boltzmann equation with potential forces on torus
-
Duan R.-J.: Stability of the Boltzmann equation with potential forces on torus. Phys. D Nonlinear Phenom. 238, 1808-1820 (2009).
-
(2009)
Phys. D Nonlinear Phenom.
, vol.238
, pp. 1808-1820
-
-
Duan, R.-J.1
-
8
-
-
77950787117
-
Stability of the one-species Vlasov-Poisson-Boltzmann system
-
Duan R.-J., Yang T.: Stability of the one-species Vlasov-Poisson-Boltzmann system. SIAM J. Math. Anal. 41(6), 2353-2387 (2010).
-
(2010)
SIAM J. Math. Anal.
, vol.41
, Issue.6
, pp. 2353-2387
-
-
Duan, R.-J.1
Yang, T.2
-
9
-
-
33747711299
-
Boltzmann equation with external force and Vlasov-Poisson-Boltzmann system in infinite vacuum
-
Duan R.-J., Yang T., Zhu C.-J.: Boltzmann equation with external force and Vlasov-Poisson-Boltzmann system in infinite vacuum. Discrete Contin. Dyn. Syst. 16, 253-277 (2006).
-
(2006)
Discrete Contin. Dyn. Syst.
, vol.16
, pp. 253-277
-
-
Duan, R.-J.1
Yang, T.2
Zhu, C.-J.3
-
10
-
-
36448982541
-
Optimal decay estimates on the linearized Boltzmann equation with time-dependent forces and their applications
-
Duan R.-J., Ukai S., Yang T., Zhao H.-J.: Optimal decay estimates on the linearized Boltzmann equation with time-dependent forces and their applications. Commun. Math. Phys. 277(1), 189-236 (2008).
-
(2008)
Commun. Math. Phys.
, vol.277
, Issue.1
, pp. 189-236
-
-
Duan, R.-J.1
Ukai, S.2
Yang, T.3
Zhao, H.-J.4
-
11
-
-
0033244167
-
Decay of the linearized Boltzmann-Vlasov system
-
Glassey R., Strauss W.: Decay of the linearized Boltzmann-Vlasov system. Transp. Theory Statist. Phys. 28, 135-156 (1999).
-
(1999)
Transp. Theory Statist. Phys.
, vol.28
, pp. 135-156
-
-
Glassey, R.1
Strauss, W.2
-
12
-
-
0033460696
-
Perturbation of essential spectra of evolution operators and the Vlasov-Poisson-Boltzmann system
-
Glassey R., Strauss W.: Perturbation of essential spectra of evolution operators and the Vlasov-Poisson-Boltzmann system. Discrete Contin. Dyn. Syst. 5, 457-472 (1999).
-
(1999)
Discrete Contin. Dyn. Syst.
, vol.5
, pp. 457-472
-
-
Glassey, R.1
Strauss, W.2
-
13
-
-
8844227476
-
The Boltzmann equation in the whole space
-
Guo Y.: The Boltzmann equation in the whole space. Indiana Univ. Math. J. 53, 1081-1094 (2004).
-
(2004)
Indiana Univ. Math. J.
, vol.53
, pp. 1081-1094
-
-
Guo, Y.1
-
14
-
-
0036328887
-
The Vlasov-Poisson-Boltzmann system near Maxwellians
-
Guo Y.: The Vlasov-Poisson-Boltzmann system near Maxwellians. Commun. Pure Appl. Math. 55(9), 1104-1135 (2002).
-
(2002)
Commun. Pure Appl. Math.
, vol.55
, Issue.9
, pp. 1104-1135
-
-
Guo, Y.1
-
15
-
-
0035531905
-
The Vlasov-Poisson-Boltzmann system near vacuum
-
Guo Y.: The Vlasov-Poisson-Boltzmann system near vacuum. Commun. Math. Phys. 218(2), 293-313 (2001).
-
(2001)
Commun. Math. Phys.
, vol.218
, Issue.2
, pp. 293-313
-
-
Guo, Y.1
-
17
-
-
0009326251
-
The Boltzmann equation and thirteen moments
-
Kawashima S.: The Boltzmann equation and thirteen moments. Japan J. Appl. Math. 7, 301-320 (1990).
-
(1990)
Japan J. Appl. Math.
, vol.7
, pp. 301-320
-
-
Kawashima, S.1
-
19
-
-
0346498040
-
Energy method for the Boltzmann equation
-
Liu T.-P., Yang T., Yu S.-H.: Energy method for the Boltzmann equation. Phys. D 188(3-4), 178-192 (2004).
-
(2004)
Phys. D
, vol.188
, Issue.3-4
, pp. 178-192
-
-
Liu, T.-P.1
Yang, T.2
Yu, S.-H.3
-
20
-
-
1842591085
-
Boltzmann equation: micro-macro decompositions and positivity of shock profiles
-
Liu T.-P., Yu S.-H.: Boltzmann equation: micro-macro decompositions and positivity of shock profiles. Commun. Math. Phys. 246(1), 133-179 (2004).
-
(2004)
Commun. Math. Phys.
, vol.246
, Issue.1
, pp. 133-179
-
-
Liu, T.-P.1
Yu, S.-H.2
-
21
-
-
8744245272
-
The Green's function and large-time behavior of solutions for the one-dimensional Boltzmann equation
-
Liu T.-P., Yu S.-H.: The Green's function and large-time behavior of solutions for the one-dimensional Boltzmann equation. Commun. Pure Appl. Math. 57, 1543-1608 (2004).
-
(2004)
Commun. Pure Appl. Math.
, vol.57
, pp. 1543-1608
-
-
Liu, T.-P.1
Yu, S.-H.2
-
23
-
-
0034348887
-
On the initial boundary value problem for the Vlasov-Poisson-Boltzmann system
-
Mischler S.: On the initial boundary value problem for the Vlasov-Poisson-Boltzmann system. Commun. Math. Phys. 210, 447-466 (2000).
-
(2000)
Commun. Math. Phys.
, vol.210
, pp. 447-466
-
-
Mischler, S.1
-
24
-
-
33645088687
-
Quantitative perturbative study of convergence to equilibrium for collisional kinetic models in the torus
-
Mouhot C., Neumann L.: Quantitative perturbative study of convergence to equilibrium for collisional kinetic models in the torus. Nonlinearity 19(4), 969-998 (2006).
-
(2006)
Nonlinearity
, vol.19
, Issue.4
, pp. 969-998
-
-
Mouhot, C.1
Neumann, L.2
-
26
-
-
33749987309
-
The Vlasov-Maxwell-Boltzmann system in the whole space
-
Strain R. M.: The Vlasov-Maxwell-Boltzmann system in the whole space. Commun. Math. Phys. 268(2), 543-567 (2006).
-
(2006)
Commun. Math. Phys.
, vol.268
, Issue.2
, pp. 543-567
-
-
Strain, R.M.1
-
27
-
-
33644808362
-
Almost exponential decay near Maxwellian, Comm
-
Strain R. M., Guo Y.: Almost exponential decay near Maxwellian, Comm. P. D. E. 31(3), 417-429 (2006).
-
(2006)
P.D.E.
, vol.31
, Issue.3
, pp. 417-429
-
-
Strain, R.M.1
Guo, Y.2
-
28
-
-
37449012365
-
Exponential decay for soft potentials near Maxwellian
-
Strain R. M., Guo Y.: Exponential decay for soft potentials near Maxwellian. Arch. Ration. Mech. Anal. 187, 287-339 (2008).
-
(2008)
Arch. Ration. Mech. Anal.
, vol.187
, pp. 287-339
-
-
Strain, R.M.1
Guo, Y.2
-
29
-
-
0000824099
-
On the existence of global solutions of mixed problem for non-linear Boltzmann equation
-
Ukai S.: On the existence of global solutions of mixed problem for non-linear Boltzmann equation. Proc. Japan Acad. 50, 179-184 (1974).
-
(1974)
Proc. Japan Acad.
, vol.50
, pp. 179-184
-
-
Ukai, S.1
-
30
-
-
36448945743
-
3: global and time-periodic solutions
-
3: global and time-periodic solutions. Anal. Appl. 4, 263-310 (2006).
-
(2006)
Anal. Appl.
, vol.4
, pp. 263-310
-
-
Ukai, S.1
Yang, T.2
-
31
-
-
75249084216
-
Hypocoercivity
-
Villani C.: Hypocoercivity. Mem. Am. Math. Soc. 202(950), iv+141 (2009).
-
(2009)
Mem. Am. Math. Soc.
, vol.202
, Issue.950
-
-
Villani, C.1
-
32
-
-
33750350446
-
Cauchy problem for the Vlasov-Poisson-Boltzmann system
-
Yang T., Yu H. J., Zhao H. J.: Cauchy problem for the Vlasov-Poisson-Boltzmann system. Arch. Ration. Mech. Anal. 182, 415-470 (2006).
-
(2006)
Arch. Ration. Mech. Anal.
, vol.182
, pp. 415-470
-
-
Yang, T.1
Yu, H.J.2
Zhao, H.J.3
-
33
-
-
33750343166
-
Global existence of classical solutions to the Vlasov-Poisson-Boltzmann system
-
Yang T., Zhao H.-J.: Global existence of classical solutions to the Vlasov-Poisson-Boltzmann system. Commun. Math. Phys. 268, 569-605 (2006).
-
(2006)
Commun. Math. Phys.
, vol.268
, pp. 569-605
-
-
Yang, T.1
Zhao, H.-J.2
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